1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KiRa [710]
3 years ago
10

A prism has total surface area of 360 m2 and volume of 60 m3.

Mathematics
2 answers:
valina [46]3 years ago
7 0

Answer:

The answers are:

A. 7.5 m³

B. 90 m²

C. 180 m³

Step-by-step explanation:

Let us answer the questions about the volume. We know that the volume of a prism is V=l*w*h, where l stands for the length, w stands for the width and h stands for the height.

Volumes.

<em>A prism with half the original sizes. </em>From the original prism we know that V=l*w*h=60 m³. The new prism have dimension l'=l/2, h'=h/2 and w'=w/2. Then, its volume V' is

V' = l'*h'*w' = (l/2)*(h/2)*(w/2) = (l*w*h)/8=V/8 = 60/8 = 7.5 m³.

<em>A prism with height tripled.</em> In this case all the dimension are the same, except for the height: this l'=l, w'=w and h'=3*h. Then, the new volume V' is

V' = l'*h'*w' = l*(3*h)*w = 3*l*h*w=3*V = 3*60 = 180 m³.

Surface area.

<em>A prism with half the original sizes.</em>

The formula for the surface area of a prism is

A = 2A_b + P_bh

where A_b stands for the area of the base and P_b stands for the perimeter of the base. As the base is rectangle,  A_b=lw and P_b = 2(l+w).

Hence,

A = 2lw + 2(l+w)h.

Then, the area of the new prism is A' ()recall that the dimension of the new prism are l'=l/2, h'=h/2 and w'=w/2).

A' = 2(l')(w') + 2(l'+w')h' = 2\frac{l}{2}\frac{w}{2} + 2(\frac{l}{2}+\frac{w}{2})\frac{h}{2} = \frac{2lw}{4} + 2\frac{l+w}{2}\frac{h}{2} = \frac{2lw}{4} + \frac{2(l+w)h}{4}.

In this expression we can extract a common factor 1/4, thus

A' = \frac{1}{4}(2lw + 2(l+w)h) = \frac{1}{4}A = 360/4 = 90 m^2

Mekhanik [1.2K]3 years ago
6 0
1.
a. 180m²b. 7.5m³
2.a.1620m²b. 180m³
You might be interested in
G=h(t) + p(c) is an equation that represents the gross pay of a server: Gross pay = hourly wage (time worked) + percent tip (cos
rusak2 [61]

Answer:

$105.5  for 16 hours at $6.59 per hour

Step-by-step explanation:

form the equation given, G=h(t) + p(c)

where G=Gross pay,

            h= hourly wage

            t=time worked

             p=percent tip

             c=cost of customer meals

we determine the gross pay by first determining the independent variables

h=$4.25, t=16 hours,

p=15%of c\\p=\frac{15}{100}*250 \\p=37.5

if we substitute values, we arrive at

G=h(t)+p(c)\\G=4.25(16)+37.5\G=68+37.5\\G=105.5

to determine the per hour gross pay we have

105.5/16

hourly gross pay,G=$6.59

3 0
3 years ago
A computed measure of how much scores vary around the mean score
Paladinen [302]
That's called <span>standard deviation.

Hope this helps !

Photon</span>
5 0
3 years ago
Is 5/16 of a gallon equal to 5 cups
lions [1.4K]
Yes because it's a 25%
4 0
3 years ago
Read 2 more answers
Question 4 (20 points)
Pepsi [2]
16 there is the answer glad to help
4 0
3 years ago
Counter example to: every perfect square has exactly 3 factors
77julia77 [94]
Well 1 is a perfect square and it only has 1 factor.
16 is a perfect square and its' factors are 1, 2, 4, 8, and 16
6 0
3 years ago
Other questions:
  • Evaluate [3 - (6 - 2(6 - 2)+ 2)]+4.​
    14·1 answer
  • PLEASEEE HELP ME ILL GIVE BRAINLIEST TO FIRST PERSON WHO ANSWERS
    13·1 answer
  • A TV has a height:width in a ratio 9:16 In a scale drawing the height is 4.5 cm. What would the width be?
    13·2 answers
  • Q) The distance between points A(2,1) and B(2,4) is ___ units.
    12·1 answer
  • A teacher has a total of 7/9 bucket of water to pour into pots with flowers that are standing in equal quantities on two windows
    11·1 answer
  • Help me with PART B!!! Use image to help!!
    8·1 answer
  • Lamar is 5 feet 10 inches tall<br> . How<br> mary inches tallis Lamar?
    12·2 answers
  • Can someone please find the slope, no link answers pls
    14·1 answer
  • A chair marked with 1800 was sold to a customur for 1504 .Find the rate of discount allowed on the chair
    7·1 answer
  • After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!